Consider the data. X 3 12 6 20 14 60 40 65 5 15 (a) Compute the mean square error using equation s2 = MSE = SSE . (Round your answer to two decimal places.) n - 2 SSE (b) Compute the standard error of the estimate using equation s = \\ MSE = n - 2 (Round your answer to three decimal places.) S (c) Compute the estimated standard deviation of b , using equation s, = VE(x, - x)2 ' . (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (a = 0.05): Ho: B1 = 0 Ha : B1 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We cannot conclude that the relationship between x and y is significant. Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We conclude that the relationship between x and y is significant. (e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source Sum Degrees Mean of Variation of Squares of Freedom Square p-value Regression Error Total Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. We cannot conclude that the relationship between x and y is significant. O Reject Ho. We conclude that the relationship between x and y is significant. Do not reject Ho. We conclude that the relationship between x and y is significant. Do not reject Ho. We cannot conclude that the relationship between x and y is significant